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Finding the Fourth Proportional to 488,204.20, 684,419 and 488,204.20

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Solution

The fourth proportional to 488,204.20, 684,419 and 488,204.20 is: 684,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,204.20 : 684,419 = 488,204.20 : x
  2. Step 2: Convert to fraction form
    488,204.20/684,419 = 488,204.20/x
  3. Step 3: Cross multiply
    488,204.20x = 684,419 × 488,204.20
  4. Step 4: Simplify right side
    488,204.20x = 334,136,230,359.80
  5. Step 5: Solve for x
    x = 334,136,230,359.80/488,204.20
  6. Step 6: Final answer
    x = 684,419

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.